Normal families of holomorphic functions on infinite-dimensional spaces

zbMath1124.46025MaRDI QIDQ854363

Paula Takatsuka

Publication date: 11 December 2006

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53552

zbMATH Keywords

separabilityMontel's theoremnormal familyholomorphic functions with exceptional valueslittle Picard theoremSchottky's theoremtheorem of Hurwitz

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Picard-type theorems and generalizations for several complex variables (32H25) Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.) (32A19)

Related Items (3)

A Montel theorem for holomorphic functions on infinite dimensional spaces that omit the values 0 and 1 ⋮ Normal families: a geometric perspective ⋮ A Schottky-type theorem for starlike domains in Banach spaces

This page was built for publication: Normal families of holomorphic functions on infinite-dimensional spaces